# Probability and Statistics

# More Probability Exercises

### Example 1

A jar contains 3 red, 2 blue, and 8 green marbles.

- If one marble is drawn at random from the jar, what is the probability that marble is green?
- If two marbles are drawn at random from the jar, with the first marble being replaced before the second is drawn, what is the probability that both marbles are green?
- If two marbles are drawn at random from the jar and the first marble is not replaced before the second is drawn, what is the probability that both marbles are green?
- What is the probability of you losing all your marbles?

### Example 2

Mr. and Mrs. Kappler bought ten books and plan to give one at random to each of their five kids. No one ever said they were attentive or considerate parents. Certainly not their children. If there is only one such way to distribute the books that will make every kid happy with their book, what is the probability that every kid will be happy with his or her book?

### Example 3

An ice cream parlor has 30 flavors but Su likes only half of them. It isn't because she's picky. This parlor features the flavors Charred Chocolate Chip, Swine Swirl and Deuce de Leche. It doesn't actually do a lot of business.

If the scooper makes a three-scoop ice cream cone at random (using three different flavors),

(a) What is the probability Su will like all three flavors?

(b) What is the probability Su will like at least one flavor?

### Example 4

A jar has 10 vanilla candies, 4 chocolate candies, and 1 strawberry candy. Seems that shrimp candy company went under. Shocker. If two candies are drawn at random from the jar without replacement, what is the probability that both are strawberry?